write a function that represents the number of emergency responses professionals in the town in terms of the towns total population

Answers

Answer 1

The exponential growth function will be:  y = 4000(1 + 0.04)⁴

How to solve Exponential growth unctions?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

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Answer 2

Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum


Related Questions

Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle. the table below shows elizabeth’s credit card transactions in july. date amount ($) transaction 7/1 969.26 beginning balance 7/3 45.00 payment 7/10 67.48 purchase 7/12 20.00 payment 7/28 85.00 payment if elizabeth has an apr of 14.61%, how much will her july finance charge be? a. $9.97 b. $12.62 c. $11.80 d. $10.80

Answers

Answer:

11.80

Step-by-step explanation:

The $11.80 will be her July finance charge option (c) is correct.

It is given that Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle.

It is required to find the July finance charge.

What is APR?

It is defined as the annual percentage rate that represents the yearly interest rate on the borrowing.

We have a principal amount = $969.26

APR = 14.61 %

Per month percent rate = [tex]\frac{14.61}{12}[/tex] ⇒ 1.2175 %

We can calculate the finance charge from the given formula:

Finance charge = Principal value×rate×Time

= 969.29×1.2175%×1

[tex]= 969.29\times\frac{1.2175}{100}\times1[/tex]

= $11.80

Thus, the $11.80 will be her July finance charge.

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Round 3.993 to the nearest hundredth
A. 3.90
B. 4
C. 3.9
D. 3.99​

Answers

Answer:

Step-by-step explanation:

3.993,

3.99

what value of x makes the equation true x + 10=18

Answers

Answer:

its 8 cause 8+10=18 and you subtract 10 to 18 to get 8 again

Step-by-step explanation:

Your answer is X=8

(8)+10= 18

Omar and Ted have a total of 25 books. Omar has 5 less than twice the number of books Ted has. Use a graph to find how many books each boy has. y

Answers

Answer:

Ted has 10 books and Omar has 15 books

Step-by-step explanation:

Hey there!

In order to find how many books each of the boys have, we can make a system of equations

First equation: O+T=25

Second equation: O=2T-5

After making the equations, you can use substitution by plugging in 2T-5 For O in the first equation:

2T-5+T=25

Simplify LHS

3T-5=25

Take 5 to the other side

3T=30

Divide by 3 on both sides to get T by itself

T=10

So this means that Ted has 10 books

Now we can plug this into the second equation

*note that you can plug 10 into the first equation too*

O=2(10)-5

Simplify RHS

O=20-5

Combine like terms

O=15

This means that Omar has 15 books

So, Ted has 10 books and Omar has 15 books

Write the following in scientific notation?
(Math 8th)

Answers

Answer:

the answer is 3.25 x 10^-4

Step-by-step explanation:

What is the perimeter of this quadrilateral?
(5,5)
(2, 4)
(4, 1)
(6, 1)

Answers

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]

[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]

[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]

can someone please help me with this question

Answers

54, i just took 12x4 and 3x2 and added them together
Answer is A, base X height=A
Area=54

50 POINTS PLEASE ANSWER!

Answers

Solve it through arithmetic sequence

First term=a=17Common difference=d=-3

Rule is

a_n=a+(n-1)d=17-3(n-1)

So

a_2=17-3=14a_3=17-6=11a_4=17-9=8

Answer:

[tex]14 \\ 11 \\ 8[/tex]

Hurry ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A bag contains 6 blue coins and 5 red coins. A coin is removed at random and replaced by three of the other color. What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. The probability that the removed coin is blue is ...?

Answers

Answer:

6/11

Step-by-step explanation:

total number of coins = 11

number of blue coins = 6

p(blue) = 6/11

Answer:

heyy.

Step-by-step explanation:

12 minus half the sum of 6 and 4​

Answers

Answer:

7

Step-by-step explanation:

the sum of 6 and 4 = 6 + 4 = 10

half of 10 = 5 (10 divided by 2)

12 - 5 = 7

Take it in steps! Hope this makes sense! If you have further questions, let me know!

- profparis

a brainliest would be appreciated if i helped you! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the expression is 7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

12 minus half the sum of 6 and 4​

This can be written as an expression as,

= 12 - 1/2 (6 + 4)

= 12 - 1/2 x 10

= 12 - 5

= 7

Thus,

The value of the expression is 7.

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Solve please will mark brainliest

Answers

hello! for this equation the formula is:
a times (a+b)= c times (c+d)

4 times (4+18)=4 times 22=88
88=6 times (6+x)=6x+36
88=6x+36
88-36=6x
6x=52

x= 8 and 2/3

The radius of a semicircle is 17 millimeters. what is the semicircle's perimeter?

Answers

Answer:

87.407

Step-by-step explanation:

circumference = 2*pie*r

= 2*pie*17

=106.8/2

=53.4

53.4+(17*2)

=87.4

Answer:

Step-by-step explanation:

it 87.38

TRUST ME

What is the value of c if, 2c + 8 = 26 ?

A.
9

B.
42

C.
18

D.
34

Answers

Answer:

Option A

The answer is 9

Step-by-step explanation:

2c + 8 = 26

Subtract 8 from both side we get,

2c + 8 – 8 = 26 – 8

2c = 18

Divide both side by 2 we get,

2c/2 = 18/2

c = 9

Thus, The value of c is 9

2c + 8 = 26
2c = 26 - 8
2c = 18
c = 18 / 2
c = 9

i need help with this

Answers

Two independent variables that can affect the cost of the supplies are:

x = number of pencils bought.y = number of notebooks bought.

What is an independent variable?

An independent variable is a variable that can change freely.

For example in the given situation, we could define the independent variables:

x = number of pencils bought.y = number of notebooks bought.

Notice that these variables are independent because these don't depend on each other.

Then if each pencil costs A, and each notebook costs B, the cost function will be:

C(x, y) = A*x + B*y

So there you have two independent variables that affect the cost of the supplies.

If you want to learn more about independent variables, you can read:

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BRAINLISTTT please explain how to do this!!

Answers

Answer:

You can make either an x|y list or use desmos graphing calculator to help you.

Step-by-step explanation:

x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.

Find the perimeter 8ft 4ft

Answers

THE ANSWER OF 8FT4FT IS 24Ft

PLEASE HELP !! #24 & #26

Answers

Answer:

Step-by-step explanation:

Sum of exterior angles of any Polygon = 360°

23.  x + 65 + 106 + 78 = 360

                    x  + 249   = 360    

{To find the value of x, subtract 249 from both sides}

                               x    = 360 - 249

                                  x = 111°

_________________________________________

24.  x + x + 59 + 48 + 50 + 39 + 58 = 360

                                       2x + 254   = 360

                                                    2x = 360 - 254

                                                    2x = 106

                                                       x = 106 ÷ 2

                                                       x = 53°

____________________________________________

25. 2x + 3x + 44 +85 + 71 = 360

                         5x + 200  = 360

                                    5x  = 360 - 200

                                     5x = 160

                                       x = 160 ÷ 5

                                       x = 32°

_______________________________________________

26.  x+ 2x + 77 + 40 + 45 = 360

                          3x +  162 = 360

                                    3x  = 360 - 162

                                    3x  = 198

                                      x = 198 ÷ 3

                                     x = 66°

Can someone help me with this question please?

Answers

Answer:

arc RS = 60°

Step-by-step explanation:

the secant- secant angle P is half the difference of ots intercepted arcs, that is

40° = [tex]\frac{1}{2}[/tex] (QT - RS ) ← multiply both sides by 2 to clear the fraction

80° = QT - RS

80° = 140° - RS ( subtract 140° from both sides )

- 60° = - RS ( multiply both sides by - 1 )

60° = RS

Answer number 14. It’s very difficult for me and i need some help.

Answers

Answer:

1201.2 in (100.1ft)

Step-by-step explanation:

A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.

First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.

Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Find the probability of randomly choosing a penny from the jar, and then choosing a dime from the jar after the first coin is replaced.

Write the probability as a fraction in simplest form

Answers

11\44 for the dime, and 12\44 for the penny.

Step-by-step explanation:

11 dimes + 21 nickels + 12 pennies = 44 coins. 12\44 probability of randomly choosing a penny from the jar. And 11\44 probability of randomly choosing a dime AFTER the penny is replaced.

how do you solve -4 + y = 6 and y= 7x - -6 by substitution?

Answers

Answer:

by doing the math

Step-by-step explanation:

do (7x)-(-6) then the other problem and find out witch one is more

Answer:

x=4/7 and y=10

Step-by-step explanation:

To solve for x, we must isolate y in one of the equations to then insert it into the other equation. We can take the first equation, -4 + y = 6, and add 4 to both sides. This gives us y = 4+6, or y = 10. Since y is a variable, we can subsititute 10 into the second equation, y = 7x - (-6), giving us 10 = 7x - (-6). The minus negative six is equal to plus six. This gives us 10 = 7x +6. Now we can solve for x. Subtract 6 from both sides; 4 = 7x. Now to find x, we have to divide both sides by 7. This gives us x = 4/7.

A principal records the lunch choices for 7th grade for a day. Of the 160 students, 21 brought their lunch from home, 103 purchased lunches, and 36 brought a lunch from home and purchased an ice cream.

Are the lunch choices equally as likely? Justify your answer by calculating the probability of each lunch choice

Answers

No it is not and the reason I say that is because most kids bought lunch. It would not be equal to the others. Less children brought a lunch and got icecream but have more than regular lunch bringers

sinxcscx - cos^2x = sin^2x Verify it pls explain how so i know how to do it

Answers

Step-by-step explanation:

sin(x)×csc(x) - cos²(x) = sin²(x)

csc(x) = 1/sin(x) (basic definition)

therefore,

sin(x)×csc(x) = sin(x) × 1/sin(x) = 1

1 - cos²(x) = sin²(x)

1 = sin²(x) + cos²(x)

and that is again a basic definition based on the standard circle with radius = 1. there we have the Pythagoras principle, as sin and cos are the legs of a right-angled triangle, with radius 1 being the Hypotenuse.

If the population of Alaska in 2000
was 622,000 and 733,000 in 2020,
assuming exponential growth, what
would the population be in 2050?
[ ? ] people

Answers

The number of people by the year 2050 is obtained as 927915 people.

What is the population in 2050?

We know that population is an exponential growth problem in this case. We have to apply the formula;

P = Poe^rt

P = population at time t

Po = Initial population

r = population growth rate

t = time taken

Now;

We have to use the relation to find the growth rate as follows;

733,000 = 622,000 e^20r

733,000/622,000 = e^20r

1.178 = e^20r

ln(1.178) = 20r

r = ln(1.178)/20

r = 0.008

Now;

In the year 2050, we would have;

P = 622,000 e^50 * 0.008

P = 927915 people

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A card is selected from an ordinary deck. What is the probability of getting king or a queen?

Answers

Answer:

I did jack and ace to

Step-by-step explanation:

Explanation:

A standard deck has 13 ordinal cards (Ace, 2-10, Jack, Queen, King) with one of each in each of four suits (Hearts, Diamonds, Spades, Clubs), for a total of

13

×

4

=

52

cards.

If we draw a card from a standard deck, there are 52 cards we might get.

There are 16 cards that will satisfy the condition of picking a Jack, Queen, King, or Ace.

This gives us:

P

(

randomly draw a Jack, Queen, King, or Ace

)

=

16

52

=

4

13

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

15.8 :D

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Now we need to find the square root!!

[tex]\sqrt{250}[/tex] = 15.8 :)

Have an amazing day!!

Please rate and mark brainliest!!!

Use the scale factor 1:8 to find the missing dimension.

Item = baby giraffe
model = height = cm
actual = height = 1.84m

Answers

Answer:

0.23 m or 23 cm

Step-by-step explanation:

Accordingto the scale factor, the model is 8 times smaller than actual figure.

Its height is:

1.84 m * 1/8 = 0.23 m or 23 cm
model: actual=1:8model=actual/8

So

Actual=1.84m

Model:-

1.84/80.23m

X-5y= -3

3x-5y=11


please show work

Answers

Answer:

x= -4

Step-by-step explanation:

You need to the elimination method!

x-5y=-3

3x-5y=11

You need to multiply the top by -1

This means every number has to be multiplied by -1 on the x-5y=-3

-x+5y=3

3x-5y=11

The 5y's should cancel out

-x=3

3x=11

Now do -x+3x and 3-11

2x=-8

x= -4

Find x . Round your answer to the nearest tenth of a degree.

Answers

Answer:

x ≈ 59.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{18}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{30}{18}[/tex] ) ≈ 59.0° ( to the nearest tenth )

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.

Answers

Answer:

please see photo for detailed analysis

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